I'm gonna start saying "Reap" because it sounds metal af
Now that I think about it I can only remember one time I called killing a deer a "harvest", when I called the NM DGF to report for a CWD unit, and that was only because they called it "Harvest Reporting" so when in Rome...
I understand the reason why "harvest" came into prominence, I do believe it was a good faith effort to appeal to the non- to anti- hunting crowd but I dont think it really matters, I dont try to church it up, I've killed an animal so I can eat it but I also dont rub it in other people's faces.